10101100111181 has 2 divisors, whose sum is σ = 10101100111182. Its totient is φ = 10101100111180.

The previous prime is 10101100111133. The next prime is 10101100111217. The reversal of 10101100111181 is 18111100110101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7358383217956 + 2742716893225 = 2712634^2 + 1656115^2 .

It is an emirp because it is prime and its reverse (18111100110101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10101100111181 - 2¹⁴ = 10101100094797 is a prime.

It is a super-2 number, since 2×10101100111181² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10101100111681) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050550055590 + 5050550055591.

It is an arithmetic number, because the mean of its divisors is an integer number (5050550055591).

Almost surely, 2^{10101100111181} is an apocalyptic number.

It is an amenable number.

10101100111181 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101100111181 is an equidigital number, since it uses as much as digits as its factorization.

10101100111181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 17.

Adding to 10101100111181 its reverse (18111100110101), we get a palindrome (28212200221282).

The spelling of 10101100111181 in words is "ten trillion, one hundred one billion, one hundred million, one hundred eleven thousand, one hundred eighty-one".